Answer:
If you know the radius of a circular track, you can use physics to calculate how fast an object needs to move in order to stay in contact with the track without falling when it reaches the top of the loop.
Using the normal distribution, the probabilities are given as follows:
a. 0.4602 = 46.02%.
b. 0.281 = 28.1%.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
The parameters are given as follows:

Item a:
The probability is <u>one subtracted by the p-value of Z when X = 984</u>, hence:


Z = 0.1
Z = 0.1 has a p-value of 0.5398.
1 - 0.5398 = 0.4602.
Item b:

By the Central Limit Theorem:


Z = 0.58
Z = 0.58 has a p-value of 0.7190.
1 - 0.719 = 0.281.
More can be learned about the normal distribution at brainly.com/question/4079902
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Answer:
0.1
Step-by-step explanation:
Take paranthesis away.
5.6-3.2-2.3
subtract 3.2 from 5.6
2.4-2.3=0.1
Hope it helps1
Answer:
Following are the solution to this question:
Step-by-step explanation:
They provide various boxes or various objects. It also wants objects to be distributed into containers, so no container is empty. All we select k objects of r to keep no boxes empty, which (r C k) could be done. All such k artifacts can be placed in k containers, each of them in k! Forms. There will be remaining
objects. All can be put in any of k boxes. Therefore, these
objects could in the
manner are organized. Consequently, both possible ways to do this are

Consequently, the number of ways that r objects in k different boxes can be arranged to make no book empty is every possible one
